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Journal of Shantou University

Exact Solution of Spin-1 Neutral Particles in a Rotating Magnetic Field

Yumei Gao

Published Jan 1, 2005• 0 citations
OpenAlex

Abstract

In this paper we obtained the exact solution of spin-1 particles under rotating magnetic field with the rotating frame method.The accurate analytic expressions of some important physical quantities,such as the polarization vector,three energies Rabi oscillation,non-adiabatic dynamic and geometric phases are obtained.The numerical results for above physical quantities are reasonable.The exact solution is useful for discussing some problems in quantum optics and quantum computation.

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Acta Sinica Quantum Optica•Jan 1, 2009•0 citations
In this paper we obtained the exact solution of spin-1 particles under rotating magnetic field with the rotating frame method.The accurate analytic expressions of some important physical quantities,such as the polarization vector,three energies Rabi oscillation,non-adiabatic dynamic and geometric phases are obtained.The numerical results for above physical quantities are reasonable.The exact solution is useful for discussing some problems in quantum optics and quantum computation.
Exact solutions of the neutral spinning particle in interaction with rotating magnetic field and a scalar potential using path integral formalism have been found. The propagator is first written in the standard Feynman form by replacing the spin by a unit vector aligned along the polar and azimuthal directions (θ φ). Then we use the phase-space and rotations in the space of spin coherent states to simplify the calculations. Thus the exact energy spectrum with a corresponding wave functions are deduced.